A wire of length $50\, cm$ and cross sectional area of $1$ sq. mm is extended by $1\, mm.$ The required work will be      $(Y = 2 \times {10^{10}}\,N{m^{ - 2}})$

  • A

    $6 \times {10^{ - 2}}\,J$

  • B

    $4 \times {10^{ - 2}}\,J$

  • C

    $2 \times {10^{ - 2}}\,J$

  • D

    $1 \times {10^{ - 2}}\,J$

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